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Finding the Third Proportional to 179,522 and 378,484

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Solution

The third proportional to 179,522 and 378,484 is: 797,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,522 : 378,484 = 378,484 : x
  2. Step 2: Convert to fraction form
    179,522/378,484 = 378,484/x
  3. Step 3: Cross multiply
    179,522x = 378,484 × 378,484
  4. Step 4: Simplify right side
    179,522x = 143,250,138,256
  5. Step 5: Solve for x
    x = 143,250,138,256/179,522
  6. Step 6: Final answer
    x = 797,953.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.